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Catching and Missing Finite Sets
Published online by Cambridge University Press: 20 November 2018
Abstract
IfT is a 1-1 bimeasurable measure-preserving aperiodic transformation on a probability space X which is a Lebesgue space, then {A:A⊂X and for almost every pair of finite sets F and G there is an n∈N satisfying F⊂TnA and G ∩ TnA=ϕ} is dense in the σ-algebra of measurable sets.
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- Copyright © Canadian Mathematical Society 1978